Which of the following are solutions to the inequality below? Select all that apply. 7 + t/12 < 4 t = -132 t = -48 t = -96 t = -24

To solve the inequality ( 7 + frac{t}{12} < 4 ), first, isolate ( t ):

1. Subtract 7 from both sides:

[

frac{t}{12} < 4 - 7

]

[

frac{t}{12} < -3

]

2. Multiply both sides by 12 (note: since 12 is positive, the inequality direction does not change):

[

t < -36

]

Now we can test each given solution to see if it satisfies ( t < -36 ):

– ( t = -132 ): Yes, (-132 < -36)

– ( t = -48 ): Yes, (-48 < -36)

– ( t = -96 ): Yes, (-96 < -36)

– ( t = -24 ): No, (-24 not< -36)

Thus, the solutions to the inequality are:

– ( t = -132 )

– ( t = -48 )

– ( t = -96 )

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